Practical application of matrix games is historically significantly limited by a basic impossibility in most cases realization of not joint mixed strategies. For the purpose of expansion of a scope of results of the decision of matrix games in article, it is developed a new classification of games of two people with the zero sum and final number of strategies. Practical difficulties of implementation of solutions of theoretic-game models of conflict situations of type “defense-attack” are shown in the mixed strategies. For matrix games of this class on the basis of the conducted pilot, researches are formulated rules of purposeful improvement of decisions and formation of the most preferable determined strategy. An iterative method of Brown-Robinson for the decision of matrix games is investigated application of an indicator of estimation of result accuracy directly during iterative process.

iterative method, conflict situation, matrix games, statistical games, improvement of a situation.